witness #2172

N: 2,999
|A|: 31
exponent log |A| / log N: 0.4289

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-09 16:49:09 UTC

Elements (31)

1440, 1444, 1488, 1538, 1540, 1548, 1550, 1623, 1690, 1694, 1700, 1748, 1798, 1915, 2238, 2300, 2449, 2498, 2538, 2540, 2690, 2694, 2700, 2738, 2790, 2798, 2800, 2824, 2940, 2944, 2950

Commentary

Tail/arc-compression search with strict threshold a > 0.45N. I translated the previous size-30 record into the upper arc, then performed a sequence of neutral 1→1 tail-preserving swaps to move within the space of size-30 constrained witnesses. After 30 such local-walk steps, residue 1700 became directly insertable, producing this size-31 record. Every element remains > 0.45N.

last edited by Yongxi (Aaron) Lin at 2026-08-09 16:49:09 UTC · history